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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1310.0. "Another Mandelbrot question:" by CHOVAX::YOUNG (Where is our Laptop VAXstation?) Wed Oct 17 1990 15:53

    OK, since my first mandelbrot problem seems to have been answered
    pretty quickly, I'll ask one more before I leave for New England (and
    the Math Dinner!):
    
    	What point, on the boundary of the Mandelbrot set is the
    	closest to the origin?
    
    --  Barry
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1310.1GUESS::DERAMODan D'EramoThu Oct 18 1990 09:357
>>    OK, since my first mandelbrot problem seems to have been answered
>>    pretty quickly, I'll ask one more before I leave for New England (and
>>    the Math Dinner!):

	I thought the dinner wasn't until tomorrow (Friday).

	Dan
1310.2CHOVAX::YOUNGWhere is our Laptop VAXstation?Sat Oct 20 1990 15:306
    As you obviously now know, Dan, the dinner *was* Friday night as you
    thought.  However I had to leave for New England on Thuirsday to attend
    a QFD symposium in Merrimack (and coincidentally have a valid reason
    for Digital to pay the air fare!).
    
    --  Barry
1310.3GUESS::DERAMODan D'EramoSat Oct 20 1990 17:3910
        re .0,
        
>>    	What point, on the boundary of the Mandelbrot set is the
>>    	closest to the origin?
        
        There is at least one solution (the boundary is closed). 
        If there is a unique solution, then it must be on the
        real line, for aesthetic reasons. :-)
        
        Dan
1310.4Anything Further?WOOK::LEEWook... Like 'Book' with a 'W'Tue May 14 1991 17:224
I'll hazard a guess along the same lines as .-1 and conjecture that if there are
more than one solution, then the solution is not on the real line.

Wook